Definition

In a way that relates to the properties of space that are preserved under continuous transformations.

Example

The shapes can be classified topologically, meaning their basic structure remains unchanged even if they are stretched or bent.

Conversation

Did you understand the math problem we went over in class?

A little, but I’m confused about how to think about it topologically.

Yeah, I think it helps to visualize the shapes involved.

Exactly! Once I saw it that way, it made so much more sense.

Synonyms & Antonyms

Root Explanation

Topologically → It is formed from "topo-" (from Greek "topos", meaning place) and "-logy" (from Greek "logia", meaning study or science). The word refers to the study of places and their properties in a mathematical context.

Memory Tip

Think of 'topo-' meaning 'place' and '-logy' meaning 'study' — topologically relates to the study of places and their properties.

Visually Confused Words